Veech Groups and Translation Coverings

Released on by Finster, Myriam
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  • Veech Groups and Translation Coverings Book Detail

  • Author : Finster, Myriam
  • Release Date : 2014
  • Publisher : KIT Scientific Publishing
  • Genre : Mathematics
  • Pages : 154
  • ISBN 13 : 3731501805
  • File Size : 92,92 MB
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Veech Groups and Translation Coverings by Finster, Myriam PDF Summary

Book Description: A translation surface is obtained by taking plane polygons and gluing their edges by translations. We ask which subgroups of the Veech group of a primitive translation surface can be realised via a translation covering. For many primitive surfaces we prove that partition stabilising congruence subgroups are the Veech group of a covering surface. We also address the coverings via their monodromy groups and present examples of cyclic coverings in short orbits, i.e. with large Veech groups.

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Veech Groups and Translation Coverings

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